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Simplifying -3p2 = -13p + 14 Reorder the terms: -3p2 = 14 + -13p Solving -3p2 = 14 + -13p Solving for variable 'p'. Reorder the terms: -14 + 13p + -3p2 = 14 + -13p + -14 + 13p Reorder the terms: -14 + 13p + -3p2 = 14 + -14 + -13p + 13p Combine like terms: 14 + -14 = 0 -14 + 13p + -3p2 = 0 + -13p + 13p -14 + 13p + -3p2 = -13p + 13p Combine like terms: -13p + 13p = 0 -14 + 13p + -3p2 = 0 Factor a trinomial. (-7 + 3p)(2 + -1p) = 0Subproblem 1
Set the factor '(-7 + 3p)' equal to zero and attempt to solve: Simplifying -7 + 3p = 0 Solving -7 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3p = 0 + 7 3p = 0 + 7 Combine like terms: 0 + 7 = 7 3p = 7 Divide each side by '3'. p = 2.333333333 Simplifying p = 2.333333333Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Solution
p = {2.333333333, 2}
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